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Finding the Fourth Proportional to 968.80, 1,452.80 and 319.36

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Solution

The fourth proportional to 968.80, 1,452.80 and 319.36 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.80 : 1,452.80 = 319.36 : x
  2. Step 2: Convert to fraction form
    968.80/1,452.80 = 319.36/x
  3. Step 3: Cross multiply
    968.80x = 1,452.80 × 319.36
  4. Step 4: Simplify right side
    968.80x = 463,966.21
  5. Step 5: Solve for x
    x = 463,966.21/968.80
  6. Step 6: Final answer
    x = 478.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.